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Finding the Fourth Proportional to 5,476.47, 8,212.98 and 1,777.84

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Solution

The fourth proportional to 5,476.47, 8,212.98 and 1,777.84 is: 2,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.47 : 8,212.98 = 1,777.84 : x
  2. Step 2: Convert to fraction form
    5,476.47/8,212.98 = 1,777.84/x
  3. Step 3: Cross multiply
    5,476.47x = 8,212.98 × 1,777.84
  4. Step 4: Simplify right side
    5,476.47x = 14,601,364.36
  5. Step 5: Solve for x
    x = 14,601,364.36/5,476.47
  6. Step 6: Final answer
    x = 2,666.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.